dorsal/arxiv
View SchemaDynamically twisted algebra $A_{q,p;\hat{\pi}}(\hat{gl_2})$ as current algebra generalizing screening currents of q-deformed Virasoro algebra
| Authors | B. Y. Hou, W. L. Yang |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9709024 |
| URL | https://arxiv.org/abs/q-alg/9709024 |
| DOI | 10.1088/0305-4470/31/23/016 |
Abstract
In this paper, we propose an elliptic algebra $A_{q,p;\hat{\pi}}(\hat{gl_2})$ which is based on the relations $RLL=LLR^{*}$, where $R$ and $R^{*}$ are the dynamical R-maxtrices of $A^{(1)}_{1}$ type face model with the elliptic moduli shifted by the center of the algebra. From the Ding-Frenkel correspondence, we find that its corresponding (Drinfeld) current algebra at level one is the algebra of screening currents for q-deformed Virasoro algebra.We realize the elliptic algebra at level one by Miki's construction from the bosonization for the type I and type II vertex operators.We also show that the algebra $A_{q,p;\hat{\pi}}(\hat{gl_2})$ is related with the algebra $A_{q,p}(\hat{gl_2})$ by a dynamically twisting.
{
"annotation_id": "531afeea-cf9e-435d-b6f6-d7f536345316",
"date_created": "2026-03-02T18:01:28.824000Z",
"date_modified": "2026-03-02T18:01:28.824000Z",
"file_hash": "9967429593253021f1b86178b0df69ca896671b71ac392b72983adfe70d09c25",
"private": false,
"record": {
"abstract": "In this paper, we propose an elliptic algebra $A_{q,p;\\hat{\\pi}}(\\hat{gl_2})$\nwhich is based on the relations $RLL=LLR^{*}$, where $R$ and $R^{*}$ are the\ndynamical R-maxtrices of $A^{(1)}_{1}$ type face model with the elliptic moduli\nshifted by the center of the algebra. From the Ding-Frenkel correspondence, we\nfind that its corresponding (Drinfeld) current algebra at level one is the\nalgebra of screening currents for q-deformed Virasoro algebra.We realize the\nelliptic algebra at level one by Miki\u0027s construction from the bosonization for\nthe type I and type II vertex operators.We also show that the algebra\n$A_{q,p;\\hat{\\pi}}(\\hat{gl_2})$ is related with the algebra\n$A_{q,p}(\\hat{gl_2})$ by a dynamically twisting.",
"arxiv_id": "q-alg/9709024",
"authors": [
"B. Y. Hou",
"W. L. Yang"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1088/0305-4470/31/23/016",
"title": "Dynamically twisted algebra $A_{q,p;\\hat{\\pi}}(\\hat{gl_2})$ as current algebra generalizing screening currents of q-deformed Virasoro algebra",
"url": "https://arxiv.org/abs/q-alg/9709024"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "cfa2e1ff-4f2b-4081-a193-d784d3c8dfe0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}